# Finding the original amount given the result of a percentage increase or decrease Online Quiz

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Q 1 - What is the principal, if a person paid an amount of $1323 after 1 year at 8% rate of interest per annum? ### Answer : A ### Explanation Step 1: Let the principal = x Interest for 1 year = 8% of x = 0.08x Step 2: Amount = x + 0.08x = 1.08x =$1323

Dividing both sides by 1.08

1.08x/1.08 = 1323/1.08 = $1225 Step 3: So, Principal= x =$1225

Q 2 - Molly buys a hand bag. There was a discount of 5%. If Molly paid $19, what was the original price? ### Answer : D ### Explanation Step 1: Let original price = x Discount = 5% of x = 0.05x Step 2: Price after discount = x – 0.05x = 0.95x =$19

Dividing both sides by 0.95

0.95x/0.95 = 19/0.95 = $20; Step 3: So, original price, x =$20

Q 3 - A violin was on sale after a markup of 30%. The sale price is $91. What was the original price? ### Answer : C ### Explanation Step 1: Let original price = x Markup = 30% of x = 0.3x Step 2: Price after markup = x + 0.3x = 1.3x =$91

Dividing both sides by 1.3

$\frac{1.3x}{1.3} = \frac{91}{1.3} =$ $70; x =$70

Step 3:

So, original price, x = $70 Q 4 - There is a markup of 40% on the original price of a fan. If the fan was sold for$70, what was its original price?

### Explanation

Step 1:

Let original price = x

Markup = 40% of x = 0.4x

Step 2:

Price after markup = x + 0.4x = 1.4x = $70 Dividing both sides by 1.4$\frac{1.4x}{1.4} = \frac{70}{1.4} =50; x = $50 Step 3: So, original price = x =$50

Q 5 - A toy was on sale after a markup of 20%. The sale price is $84. What was the original price? ### Answer : ### Explanation Step 1: Let original price = x Markup = 20% of x = 0.2x Step 2: Price after markup = x + 0.2x = 1.2x =$84

Dividing both sides by 1.2

$\frac{1.2x}{1.2} = \frac{84}{1.2} =$ $70; x =$70

Step 3:

So, original price = x = 70

Q 6 - What is the principal, if a person paid an amount of $654 after 1 year at 9% rate of interest per annum? ### Answer : D ### Explanation Step 1: Let the principal = x Interest for 1 year = 9% of x = 0.09x Step 2: Amount = x + 0.09x = 1.09x =$654

Dividing both sides by 1.09

$\frac{1.09x}{1.09} = \frac{654}{1.09} =$ $600 Step 3: So, principal x =$600

Q 7 - Jack had a 10%-off coupon and paid $81 for pair of jeans. What was the original price of the pair of jeans? ### Answer : A ### Explanation Step 1: Let original price = x Discount = 10% of x = 0.10x Step 2: Price after discount = x – 0.10x = 0.90x =$81

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{81}{0.90} =$ $90; x =$90

Step 3:

So, original price = x = $90 Q 8 - A parrot is sold for 30% off the original price. If the sale price of the parrot was$84, what was its original price?

### Explanation

Step 1:

Let original price = x

Discount = 30% of x = 0.30x

Step 2:

Price after discount = x – 0.30x = 0.70x = $84 Dividing both sides by 0.70$\frac{0.70x}{0.70} = \frac{84}{0.70} =120; x = $120 Step 3: So, original price = x =$120

Q 9 - Anita bought a necklace for $350 that was marked up by 40%. What was the original price of the necklace? ### Answer : B ### Explanation Step 1: Let original price = x Markup = 40% of x = 0.4x Step 2: Price after markup = x + 0.4x = 1.4x =$350

Dividing both sides by 1.4

$\frac{1.4x}{1.4} = \frac{350}{1.4} =$ $250; x =$250

Step 3:

So, original price = x = $250 Q 10 - Jack bought a pair of trousers for$50 that were marked down by 20%. What was their original price?

### Explanation

Step 1:

Let original price = x

Discount = 20% of x = 0.20x

Step 2:

Price after discount = x – 0.20x = 0.80x = $50 Dividing both sides by 0.80$\frac{0.80x}{0.80} = \frac{50}{0.80} =62.50; x = $62.50 Step 3: So, original price = x =$62.50

finding_original_amount_given_result_percentage_increase_or_decrease.htm